Question

Use the formula V = s³, where V is the volume and s is the edge length of the cube, to solve this problem.

A cube-shaped bin has an edge length of 34 yard.

What is the volume of the container?

Answer 1

`V=(27)/(64)yd^3`

Explanation:

The edge length of the cube shaped bin is
`(3)/(4)\text{ yards}`

Hence,
`s=(3)/(4)\text{ yards}`

The volume of the cube is given by

`V=s^3`

Plugging the value of s, we get

`V=((3)/(4))^3`

This can be further simplified as

`V=(3*3*3)/(4*4*4)\\\\V=(27)/(64)`

Hence, the volume of the container is 27/64 cubic yards.

Answer 2

Given that volume is:
V=s³
where:
s=side length
The volume of a cube whose side length, s=3/4 yards will be given by:
V=(3/4)³
Simplifying this we get:
V=27/64 yd³

Answer: 27/64 yd³